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Finding the Third Proportional to 385,627.50 and 830,452.50

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Solution

The third proportional to 385,627.50 and 830,452.50 is: 1,788,387.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,627.50 : 830,452.50 = 830,452.50 : x
  2. Step 2: Convert to fraction form
    385,627.50/830,452.50 = 830,452.50/x
  3. Step 3: Cross multiply
    385,627.50x = 830,452.50 × 830,452.50
  4. Step 4: Simplify right side
    385,627.50x = 689,651,354,756.25
  5. Step 5: Solve for x
    x = 689,651,354,756.25/385,627.50
  6. Step 6: Final answer
    x = 1,788,387.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.